Article: Modelling of creep deformation in an annular rotating disc composed of Si-Ti-C-O fibre-bonded ceramic matrix composite using Seth's transition theory Journal: International Journal of Modelling, Identification and Control (IJMIC) 2024 Vol.44 No.3 pp.246 - 254 Abstract: Mathematical modelling of creep deformations in annular discs experiencing high centrifugal forces using transition theory is of much significance owing to its well established reliability. In this paper transition theory has been implemented to obtain these stresses, strain rates and displacement in discs composed of Si-Ti-C-O fibre-bonded ceramic matrix composite (CMC) which exhibit transversely isotropic macro and micro structural symmetry. The disc has a circular perforation at the centre. The analytic solution for creep transition state further utilises the material constants which have been taken from available literature and obtained from the transmitted wave velocities measured by a double-through-transmission method. The results of analytic solution are plotted graphically for varying radii ratios. It is observed that with increase in centrifugal forces, there is an increase in the magnitude of radial and circumferential stress concentrations at the internal surface of discs which diminish outwards. Likewise the strain rates have been observed to be maximum at internal surface and diminish toward the outer surface. The rise in strain rates which is proportional to increase in the angular speed indicates that the disc will tend to fracture at the bore adjoining the inclusion. Inderscience Publishers - linking academia, business and industry through research

Title: Modelling of creep deformation in an annular rotating disc composed of Si-Ti-C-O fibre-bonded ceramic matrix composite using Seth's transition theory

Authors: Shivdev Shahi; Gagandeep Kaur; Abhishek Sharma; P. Basker

Addresses: UIE, Chandigarh University, India ' UILS, Chandigarh University, India ' Department of Civil Engineering, NIT Hamirpur, India ' UIE, Chandigarh University, India

Abstract: Mathematical modelling of creep deformations in annular discs experiencing high centrifugal forces using transition theory is of much significance owing to its well established reliability. In this paper transition theory has been implemented to obtain these stresses, strain rates and displacement in discs composed of Si-Ti-C-O fibre-bonded ceramic matrix composite (CMC) which exhibit transversely isotropic macro and micro structural symmetry. The disc has a circular perforation at the centre. The analytic solution for creep transition state further utilises the material constants which have been taken from available literature and obtained from the transmitted wave velocities measured by a double-through-transmission method. The results of analytic solution are plotted graphically for varying radii ratios. It is observed that with increase in centrifugal forces, there is an increase in the magnitude of radial and circumferential stress concentrations at the internal surface of discs which diminish outwards. Likewise the strain rates have been observed to be maximum at internal surface and diminish toward the outer surface. The rise in strain rates which is proportional to increase in the angular speed indicates that the disc will tend to fracture at the bore adjoining the inclusion.

Keywords: creep; composite; ceramic; stresses; strain.

DOI: 10.1504/IJMIC.2024.137998

International Journal of Modelling, Identification and Control, 2024 Vol.44 No.3, pp.246 - 254

Received: 04 Oct 2022
Accepted: 31 Jan 2023
Published online: 16 Apr 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article

Title: Modelling of creep deformation in an annular rotating disc composed of Si-Ti-C-O fibre-bonded ceramic matrix composite using Seth's transition theory

Keep up-to-date